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Simplifying 6p + -1(5p + 5) = -8 + -2(p + 12) Reorder the terms: 6p + -1(5 + 5p) = -8 + -2(p + 12) 6p + (5 * -1 + 5p * -1) = -8 + -2(p + 12) 6p + (-5 + -5p) = -8 + -2(p + 12) Reorder the terms: -5 + 6p + -5p = -8 + -2(p + 12) Combine like terms: 6p + -5p = 1p -5 + 1p = -8 + -2(p + 12) Reorder the terms: -5 + 1p = -8 + -2(12 + p) -5 + 1p = -8 + (12 * -2 + p * -2) -5 + 1p = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 -5 + 1p = -32 + -2p Solving -5 + 1p = -32 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -5 + 1p + 2p = -32 + -2p + 2p Combine like terms: 1p + 2p = 3p -5 + 3p = -32 + -2p + 2p Combine like terms: -2p + 2p = 0 -5 + 3p = -32 + 0 -5 + 3p = -32 Add '5' to each side of the equation. -5 + 5 + 3p = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 3p = -32 + 5 3p = -32 + 5 Combine like terms: -32 + 5 = -27 3p = -27 Divide each side by '3'. p = -9 Simplifying p = -9
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